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Finding the Fourth Proportional to 200,765.37, 301,154.13 and 51,005.69

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Solution

The fourth proportional to 200,765.37, 301,154.13 and 51,005.69 is: 76,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,765.37 : 301,154.13 = 51,005.69 : x
  2. Step 2: Convert to fraction form
    200,765.37/301,154.13 = 51,005.69/x
  3. Step 3: Cross multiply
    200,765.37x = 301,154.13 × 51,005.69
  4. Step 4: Simplify right side
    200,765.37x = 15,360,574,197.00
  5. Step 5: Solve for x
    x = 15,360,574,197.00/200,765.37
  6. Step 6: Final answer
    x = 76,510.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.